Paper Citation Record · LEDGER

The algebraic structure of Dyson--Schwinger equations with multiple insertion places

As of 22 August 2026, this Paper Citation Record lists 38 of 38 outbound references and 0 inbound Pith citation observations for arXiv:2501.12350.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2501.12350 v2

Coverage vector

measured 38 of 38 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-10T17:26:46.321827Z

measured 38 of 38 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Source: cited_works

Reference resolution

38 of 38 outbound references displayed

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verified fuzzy17
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External citation measurements

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Outbound references

Observation fb1d1804-2345-46f4-89bf-1132cb63d81a · outbound

This paper cites Sur le groupe d’interpolation.

The algebraic structure of Dyson--Schwinger equations with multiple insertion places Sur le groupe d’interpolation

Reference 1

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Observation 4170a305-195f-4a87-b531-db2945545669 · outbound

This paper cites Dyson-Schwinger Equations in Minimal Subtraction.

The algebraic structure of Dyson--Schwinger equations with multiple insertion places Dyson-Schwinger Equations in Minimal Subtraction

Reference 2

Resolution: verified exact; local_arxiv, observed 2026-08-10T17:26:46.729995Z

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Observation da31a37f-ac48-4a4a-bd74-67b60bd96cad · outbound

This paper cites Variations of single-kernel Dyson-Schwinger equa- tions.

The algebraic structure of Dyson--Schwinger equations with multiple insertion places Variations of single-kernel Dyson-Schwinger equa- tions

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T17:26:46.946379Z

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Observation eb72d6f3-6e44-4232-91f3-95a926707104 · outbound

This paper cites Tubings, chord diagrams, and Dyson–Schwinger equations.

The algebraic structure of Dyson--Schwinger equations with multiple insertion places Tubings, chord diagrams, and Dyson–Schwinger equations

Reference 4

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Observation e8e27bd9-dfc7-4346-b716-7019c41ca61b · outbound

This paper cites Approximate Differential Equations for Renormalization Group Functions in Models Free of Vertex Divergencies.

The algebraic structure of Dyson--Schwinger equations with multiple insertion places Approximate Differential Equations for Renormalization Group Functions in Models Free of Vertex Divergencies

Reference 5

Resolution: metadata mismatch; local_arxiv, observed 2026-08-10T17:26:46.712925Z

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Observation d17be265-95c8-463e-bf1e-9fb7219df711 · outbound

This paper cites Hopf algebras in renormalization theory: Locality and Dyson-Schwinger equations from Hochschild cohomology.

The algebraic structure of Dyson--Schwinger equations with multiple insertion places Hopf algebras in renormalization theory: Locality and Dyson-Schwinger equations from Hochschild cohomology

Reference 6

Resolution: verified exact; local_arxiv, observed 2026-08-10T17:26:46.697039Z

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Observation 6e508ac4-c103-4958-b3e6-45307942913c · outbound

This paper cites Feynman graph generation and calculations in the Hopf algebra of Feynman graphs.

The algebraic structure of Dyson--Schwinger equations with multiple insertion places Feynman graph generation and calculations in the Hopf algebra of Feynman graphs

Reference 7

Resolution: verified exact; local_arxiv, observed 2026-08-10T17:26:46.681203Z

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Observation c8307d94-4f0a-419f-a059-f1687481a520 · outbound

This paper cites Tree-tubings and the combinatorics of resurgent Dyson-Schwinger equations.

The algebraic structure of Dyson--Schwinger equations with multiple insertion places Tree-tubings and the combinatorics of resurgent Dyson-Schwinger equations

Reference 8

Resolution: verified exact; local_arxiv, observed 2026-08-10T17:26:46.665132Z

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Observation 49586115-13b6-4220-b3f4-9a40ce1f6e78 · outbound

This paper cites Exact solutions of Dyson-Schwinger equations for iterated one-loop integrals and propagator-coupling duality.

The algebraic structure of Dyson--Schwinger equations with multiple insertion places Exact solutions of Dyson-Schwinger equations for iterated one-loop integrals and propagator-coupling duality

Reference 9

Resolution: verified exact; local_arxiv, observed 2026-08-10T17:26:46.647643Z

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Observation f99d0284-9e63-4e47-8ce5-75729792f2d1 · outbound

This paper cites Algebraic renormalisa- tion of regularity structures.

The algebraic structure of Dyson--Schwinger equations with multiple insertion places Algebraic renormalisa- tion of regularity structures

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T17:26:46.934331Z

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Observation fe4702aa-5d9c-4b38-be63-837615e5725a · outbound

This paper cites Coxeter Complexes and Graph-Associahedra.

The algebraic structure of Dyson--Schwinger equations with multiple insertion places Coxeter Complexes and Graph-Associahedra

Reference 11

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Observation 6cafb1f7-ee6f-44f7-84e6-000f9759e688 · outbound

This paper cites Pre-Lie algebras and the rooted trees operad.

The algebraic structure of Dyson--Schwinger equations with multiple insertion places Pre-Lie algebras and the rooted trees operad

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T17:26:46.921973Z

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Observation 124e768b-b8aa-4c27-a80a-bc537c90e4f5 · outbound

This paper cites Hopf Algebras, Renormalization and Noncommutative Geometry.

The algebraic structure of Dyson--Schwinger equations with multiple insertion places Hopf Algebras, Renormalization and Noncommutative Geometry

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-10T17:26:46.208546Z

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Observation 0725c076-1a93-4c16-8ff8-e0e6a6051eac · outbound

This paper cites Next-to$^k$ leading log expansions by chord diagrams.

The algebraic structure of Dyson--Schwinger equations with multiple insertion places Next-to$^k$ leading log expansions by chord diagrams

Reference 14

Resolution: verified exact; local_arxiv, observed 2026-08-10T17:26:46.606919Z

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Observation 8da1098c-8633-462c-aaa5-31b963659b7b · outbound

This paper cites Terminal chords in connected chord diagrams.

The algebraic structure of Dyson--Schwinger equations with multiple insertion places Terminal chords in connected chord diagrams

Reference 15

Resolution: verified exact; local_arxiv, observed 2026-08-10T17:26:46.590754Z

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Observation a46ac541-e665-4e40-adda-2316bca1a0d0 · outbound

This paper cites Connected chord dia- grams and bridgeless maps.

The algebraic structure of Dyson--Schwinger equations with multiple insertion places Connected chord dia- grams and bridgeless maps

Reference 16

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Observation e26a7d89-adea-4c43-bc53-e0764024553d · outbound

This paper cites Homological coalgebra.

The algebraic structure of Dyson--Schwinger equations with multiple insertion places Homological coalgebra

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T17:26:46.886782Z

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Observation 985b8e87-4a6b-47f2-a943-cda8f438126a · outbound

This paper cites Sequences of trees and higher-order renormalization group equations.

The algebraic structure of Dyson--Schwinger equations with multiple insertion places Sequences of trees and higher-order renormalization group equations

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T17:26:46.874432Z

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Observation 8636bee8-042d-4f40-bb1e-6766204df081 · outbound

This paper cites General Dyson-Schwinger equations and systems.

The algebraic structure of Dyson--Schwinger equations with multiple insertion places General Dyson-Schwinger equations and systems

Reference 19

Resolution: verified exact; local_arxiv, observed 2026-08-10T17:26:46.573860Z

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Observation 4e8626ae-aa35-4b1c-b394-b5effa70b972 · outbound

This paper cites Mulitgraded Dyson-Schwinger systems.

The algebraic structure of Dyson--Schwinger equations with multiple insertion places Mulitgraded Dyson-Schwinger systems

Reference 20

Resolution: verified exact; local_arxiv, observed 2026-08-10T17:26:46.557491Z

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Observation a4934059-236a-4cd2-9223-9699a606f19a · outbound

This paper cites P -associahedra.

The algebraic structure of Dyson--Schwinger equations with multiple insertion places P -associahedra

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T17:26:46.857045Z

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Observation ea9578c7-1044-4947-a970-60112c2c1c4d · outbound

This paper cites Generalized chord diagram expansions of Dyson–Schwinger equations.

The algebraic structure of Dyson--Schwinger equations with multiple insertion places Generalized chord diagram expansions of Dyson–Schwinger equations

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T17:26:46.845604Z

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Observation 3f17a66f-f3f3-4564-9d0d-0253a5421c6d · outbound

This paper cites The Art of Computer Programming.

The algebraic structure of Dyson--Schwinger equations with multiple insertion places The Art of Computer Programming

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T17:26:46.833589Z

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Observation f5591305-6426-4b6f-a683-6ee54636fe96 · outbound

This paper cites On the Hopf algebra structure of perturbative quantum field theories.

The algebraic structure of Dyson--Schwinger equations with multiple insertion places On the Hopf algebra structure of perturbative quantum field theories

Reference 24

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Observation db42fda4-112a-4faf-9f81-3e19acb2f217 · outbound

This paper cites A chord diagram expansion coming from some Dyson-Schwinger equations.

The algebraic structure of Dyson--Schwinger equations with multiple insertion places A chord diagram expansion coming from some Dyson-Schwinger equations

Reference 25

Resolution: verified exact; local_arxiv, observed 2026-08-10T17:26:46.511330Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation e07b11e0-f11f-4070-be79-7494af219adc · outbound

This paper cites Enumerative perspectives on chord diagrams.

The algebraic structure of Dyson--Schwinger equations with multiple insertion places Enumerative perspectives on chord diagrams

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T17:26:46.820833Z

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Observation 552d4ff3-968b-4bf8-b1ec-df6898fa33de · outbound

This paper cites Some applications of combinatorial Hopf algebras to integro-differential equations and symmetric function identities.

The algebraic structure of Dyson--Schwinger equations with multiple insertion places Some applications of combinatorial Hopf algebras to integro-differential equations and symmetric function identities

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T17:26:46.808578Z

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Observation 0c710f38-0fd0-4032-bf03-bbbde1b45193 · outbound

This paper cites Hopf algebraic Renormalization of Kreimer's toy model.

The algebraic structure of Dyson--Schwinger equations with multiple insertion places Hopf algebraic Renormalization of Kreimer's toy model

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-10T17:26:46.288075Z

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Observation 4d30d331-43d0-4bc7-83a1-c331b40fb583 · outbound

This paper cites Gauge Symmetries and Renormalization.

The algebraic structure of Dyson--Schwinger equations with multiple insertion places Gauge Symmetries and Renormalization

Reference 29

Resolution: verified exact; local_arxiv, observed 2026-08-10T17:26:46.481892Z

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Observation 28a40093-305e-4e63-809e-2c744930417b · outbound

This paper cites The Riordan group.

The algebraic structure of Dyson--Schwinger equations with multiple insertion places The Riordan group

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T17:26:46.795642Z

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Observation 9704bb64-b1d8-4fc4-95b3-02809840ef68 · outbound

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The algebraic structure of Dyson--Schwinger equations with multiple insertion places Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-08-10T17:26:46.783655Z

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Observation ac7507a0-ce07-4f80-bbe3-4502e286b229 · outbound

This paper cites Renormalization of gauge fields using Hopf algebras.

The algebraic structure of Dyson--Schwinger equations with multiple insertion places Renormalization of gauge fields using Hopf algebras

Reference 32

Resolution: verified exact; local_arxiv, observed 2026-08-10T17:26:46.463885Z

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Observation bf072c2e-8d35-4cfd-be56-d5db869bc30d · outbound

This paper cites A primer on functional methods and the Schwinger-Dyson equations.

The algebraic structure of Dyson--Schwinger equations with multiple insertion places A primer on functional methods and the Schwinger-Dyson equations

Reference 33

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Observation 344ecdc3-1a95-4660-b4a1-46d565d695a9 · outbound

This paper cites Massey products for graph homology.

The algebraic structure of Dyson--Schwinger equations with multiple insertion places Massey products for graph homology

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T17:26:46.770831Z

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Observation 34c81f31-7160-4e05-9cab-44aabb78d74c · outbound

This paper cites A Combinatorial Perspective on Quantum Field Theory.

The algebraic structure of Dyson--Schwinger equations with multiple insertion places A Combinatorial Perspective on Quantum Field Theory

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T17:26:46.758307Z

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Observation bfa16389-f83e-4ae8-b2c5-63aef1fac94f · outbound

This paper cites Growth estimates for Dyson-Schwinger equations.

The algebraic structure of Dyson--Schwinger equations with multiple insertion places Growth estimates for Dyson-Schwinger equations

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T17:26:46.744757Z

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Observation ee44483b-b32f-4da5-bbb2-403cacb093c0 · outbound

This paper cites combinatorics.

The algebraic structure of Dyson--Schwinger equations with multiple insertion places combinatorics

Reference 2019

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T17:26:46.897616Z

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Observation 1100bbca-7ad5-4ca5-8ac5-9f578ec3ed87 · outbound

This paper cites $P$-associahedra.

The algebraic structure of Dyson--Schwinger equations with multiple insertion places $P$-associahedra

Reference 2023

Resolution: verified exact; local_arxiv, observed 2026-08-10T17:26:46.539966Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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